Finite Group Databasebeta

← Group #246331

Character table — Group #246331

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122444444444488888888888888888816161616161616161616161632323232
order12222222224444442224444444444444442444444488884488
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-11111-1-1-1-1-1-11-1-111-1-1-1-1-111-1-1
χ31111111111111111111-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11111-1-111
χ511111111111111111-1-11111111111111-1-11-1-11-1-1-1-11111-1-1-1-1
χ611111111111111111-1-111111-1-11111-1-111-11-1-11-1-11-1-1-1-1-1-111
χ711111111111111111-1-1-1-1-1-1111-1-1-1-111-1-11-1-11-1-1-1-1-1-1-1-11111
χ811111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-111-11-1-11-1-11111111-1-1
χ9111111-1-1111-1-1111-11111-1-1-11111-1-111-1-1-111-11-1-1-111-1-11-11-1
χ10111111-1-1111-1-1111-11111-1-1-1-1-111-1-1-1-1111-111-1-1-11-1-1111-1-11
χ11111111-1-1111-1-1111-111-1-111-111-1-11111-1-1-111-11-1-1-1-1-111-11-11
χ12111111-1-1111-1-1111-111-1-111-1-1-1-1-111-1-1111-111-1-1-1111-1-1-111-1
χ13111111-1-1111-1-1111-1-1-111-1-1-11111-1-11111-1-1-1-1-111111-1-1-11-11
χ14111111-1-1111-1-1111-1-1-111-1-1-1-1-111-1-1-1-1-1-111-11111-1-1-111-111-1
χ15111111-1-1111-1-1111-1-1-1-1-111-111-1-1111111-1-1-1-1-1111-1-1111-11-1
χ16111111-1-1111-1-1111-1-1-1-1-111-1-1-1-1-111-1-1-1-111-11111-111-1-11-1-11
χ172222222222-2-2-2-2-2-2-22200002000000000000-2002-2000000000
χ182222222222-2-2-2-2-2-2-2-2-200002000000000000200-22000000000
χ1922222222-2-2222-2-22-2000000-2220000-2-200200-2000000000000
χ2022222222-2-2222-2-22-2000000-2-2-200002200-2002000000000000
χ2122222222-2-2-2-2-222-22000000-200000000220-200200-200000000
χ2222222222-2-2-2-2-222-22000000-200000000-2-20200-200200000000
χ23222222-2-222-222-2-2-22220000-2000000000000-200-22000000000
χ24222222-2-222-222-2-2-22-2-20000-20000000000002002-2000000000
χ25222222-2-2-2-22-2-2-2-2220000002220000-2-200-2002000000000000
χ26222222-2-2-2-22-2-2-2-2220000002-2-200002200200-2000000000000
χ27222222-2-2-2-2-22222-2-2000000200000000220200-200-200000000
χ28222222-2-2-2-2-22222-2-2000000200000000-2-20-200200200000000
χ292222-2-2002-2-2002-22000002202-200-2-22-20000000000002-20000
χ302222-2-2002-2-2002-2200000220-2200-2-2-22000000000000-220000
χ312222-2-2002-2-2002-2200000-2-202-200222-2000000000000-220000
χ322222-2-2002-2-2002-2200000-2-20-220022-220000000000002-20000
χ332222-2-200-22-200-222000220002-2-2-200-2200000000002-2000000
χ342222-2-200-22-200-22200022000-22-2-2002-20000000000-22000000
χ352222-2-200-22-200-222000-2-20002-22200-220000000000-22000000
χ362222-2-200-22-200-222000-2-2000-2222002-200000000002-2000000
χ374444-4-4004-4400-44-40000000000000000000000000000000000
χ384444-4-400-444004-4-40000000000000000000000000000000000
χ394-44-44-4000004-40000002i−2i2i−2i0002i−2i2i−2i00000000000000000000
χ404-44-44-4000004-4000000−2i2i−2i2i000−2i2i−2i2i00000000000000000000
χ414-44-44-400000-440000002i−2i−2i2i0002i−2i−2i2i00000000000000000000
χ424-44-44-400000-44000000−2i2i2i−2i000−2i2i2i−2i00000000000000000000
χ434-44-4-444-4000000000002i−2i2i−2i000−2i2i−2i2i00000000000000000000
χ444-44-4-444-400000000000−2i2i−2i2i0002i−2i2i−2i00000000000000000000
χ454-44-4-44-44000000000002i−2i−2i2i000−2i2i2i−2i00000000000000000000
χ464-44-4-44-4400000000000−2i2i2i−2i0002i−2i−2i2i00000000000000000000
χ4788-8-800000000000004-40000000000000000000000000000000
χ4888-8-80000000000000-440000000000000000000000000000000
χ498-8-8800000000000000000000000000004-40000000000000000
χ508-8-880000000000000000000000000000-440000000000000000

Here i is the imaginary unit (i² = −1).